Subtract 3x from both sides:
-6y = -3x + 6
divide both sides by -6 to get y by itself:
y = 1/2x - 1
function notation is rewriting y as a function:
f(x) = 1/2x -1
Step-by-step explanation:
An arithmetic sequence is given by relation as follows :

For the first term, put n = 1. So,

For fourth term, put n = 4. So,

For tenth term, put n = 10. So,

Hence, the correct option is (C).
Answer:
There are 26 possible way to determine two distinct integers whose sum is 27.
Step-by-step explanation:
To find : The number of ways a computer can randomly generate one or more such integers from 1 through 30. Two distinct integers whose sum is 27.
Solution :
We have given the numbers from 1,2,3,4......,29,30.
In order to get two distinct numbers having the sum 27,
There are the possibilities :
1+26=27
2+25=27
3+24=27
......
24+3=27
25+2=27
26+1=27
The maximum number taken is 26.
So, There are 26 possible way to determine two distinct integers whose sum is 27.
Answer:
be the second player, and always leave a multiple of 3 balloons
Step-by-step explanation:
In order to win, a player must force the other player to leave one or two balloons. To do that, the winning player must leave one more balloon than the maximum number that can be popped. That is, the winner will be the player who leaves 3 balloons,
Working backward, we find that the winner must leave a multiple of 3 after each turn. Since the starting number is a multiple of 3, the first player must lose if the second player plays optimally.
The winning strategy is ...
- be the second player
- always leave a multiple of 3 balloons.
The candle sales decreases to - 15 percentage.
<u>Step-by-step explanation:</u>
(476 - 560) : 560 x 100
= (476 : 560 - 1)100
= 85 - 100 = - 15
Therefore, - 15% did the candle sales decrease.